Direct product decomposition of zero-product-associative rings without nilpotent elements
Alexander Abian (1978)
Colloquium Mathematicae
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Alexander Abian (1978)
Colloquium Mathematicae
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Chong-Yun Chao (1968)
Mathematische Zeitschrift
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Huanyin Chen, Marjan Sheibani, Nahid Ashrafi (2022)
Czechoslovak Mathematical Journal
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We present new characterizations of the rings for which every element is a sum of two tripotents and a nilpotent that commute. These extend the results of Z. L. Ying, M. T. Koşan, Y. Zhou (2016) and Y. Zhou (2018).
Sadayoshi Kojima (1983)
Commentarii mathematici Helvetici
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Sudarshan K. Sehgal (1975)
Manuscripta mathematica
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Mihai Sabac (1996)
Collectanea Mathematica
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In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe the irreducibility for Lie algebras which have Levi-Malçev decomposition property.
J. W. Jenkins (1979)
Colloquium Mathematicae
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J. Janas (1982)
Colloquium Mathematicae
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G. Mislin, K. Varadarajan (1979)
Inventiones mathematicae
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Luis A. Cordero, Marisa Fernández, Alfred Gray, Luis Ugarte (2001)
RACSAM
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Este artículo presenta un panorama de algunos resultados recientes sobre estructuras complejas nilpotentes J definidas sobre nilvariedades compactas. Tratamos el problema de clasificación de nilvariedades compactas que admiten una tal J, el estudio de un modelo minimal de Dolbeault y su formalidad, y la construcción de estructuras complejas nilpotentes para las cuales la sucesión espectral de Frölicher no colapsa en el segundo término.
Schneider, Csaba (2005)
Experimental Mathematics
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E. Jespers, G. Leal (1995)
Manuscripta mathematica
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Vikas Bist (1991)
Publicacions Matemàtiques
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Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.